356401326564 has 192 divisors, whose sum is σ = 1007112960000. Its totient is φ = 108565494912.

The previous prime is 356401326559. The next prime is 356401326581. The reversal of 356401326564 is 465623104653.

356401326564 is a `hidden beast` number, since 3 + 5 + 64 + 0 + 1 + 3 + 26 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86106007 + ... + 86110145.

It is an arithmetic number, because the mean of its divisors is an integer number (5245380000).

Almost surely, 2^356401326564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356401326564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503556480000).

356401326564 is an abundant number, since it is smaller than the sum of its proper divisors (650711633436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

356401326564 is a wasteful number, since it uses less digits than its factorization.

356401326564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 356401326564 in words is "three hundred fifty-six billion, four hundred one million, three hundred twenty-six thousand, five hundred sixty-four".